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3 years ago

Hi! Can I have some help on this math question...

Mathematics

2 answers:

Inessa [10]3 years ago

8 0

Answer:

β = 22.5°

Step-by-step explanation:

In a triangle, the sum of interior angles must add up to 180°.

Since the angle marked with corners is equal to 90°, we can write an equation to solve for β.

3β + β + 90° = 180°

4β = 180° - 90°

4β = 90°

β = 90° / 4

β = 22.5°

Bond [772]3 years ago

6 0

Answer:

T is equal to R

Hope this helps.....

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Given the function: $f(x) =\frac{x^2}{x^4+16}$

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Now, rewrite the given function in the form of $\frac{a}{1-r}$ so that we can express the representation as a geometric series.

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Now, divide numerator and denominator by $x^4$ we get;

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$\frac{1}{1+x^2} =\sum_{n=0}^{\infty} (-1)^n x^{2n}$

to get the power series let $x \rightarrow \frac{4}{x^2}$

so,

$\frac{1}{1+(\frac{4}{x^2})^2} =\sum_{n=0}^{\infty} (-1)^n (\frac{4}{x^2})^{2n}$

Multiply both side by $\frac{1}{x^2}$ we get;

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we have,

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therefore, the power series representation centered at x =0 for the given function is: $\sum_{n=0}^{\infty} (-1)^n (16)^n x^{-4n-2}$

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